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Suppose Var(X) = 71, Var(Y) = 12, and X and Y are independent. What is Var(.59X + .41Y)?

Suppose Var(X) = 71, Var(Y) = 12, and X and Y are independent. What is Var(.59X + .41Y)?

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.4: Powers Of Monimials
Problem 42WE
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Suppose Var(X) = 71, Var(Y) = 12, and X and Y are independent. What is Var(.59X + .41Y)? 
 
 
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